SRC/zlarf.f(3)

🎀 SRC/zlarf.f 🎀

From the Library Functions Manual, bestie. Buckle up, we’re getting into reflector business. 💅

✨ NAME ✨

SRC/zlarf.f — that’s the page, no cap. 🫶

🌸 SYNOPSIS 🌸

Functions/Subroutines

• subroutine zlarf (side, m, n, v, incv, tau, c, ldc, work) — ZLARF applies an elementary reflector to a general rectangular matrix.

subroutine zlarf (side, m, n, v, incv, tau, c, ldc, work)

🦋 Function/Subroutine Documentation 🦋

   subroutine zlarf (character side, integer m, integer n, complex*16,
       dimension( * ) v, integer incv, complex*16 tau, complex*16, dimension(
       ldc, * ) c, integer ldc, complex*16, dimension( * ) work)

ZLARF applies an elementary reflector to a general rectangular matrix. Iconic behavior, honestly. ✨

💖 Purpose 💖

Okay so: ZLARF applies a complex elementary reflector H to a complex M-by-N matrix C, from either the left or the right. H is represented in the form

H = I - tau * v * v**H

where tau is a complex scalar and v is a complex vector.

If tau = 0, then H is taken to be the unit matrix.

To apply H**H, supply conjg(tau) instead tau.

🎀 Parameters 🎀

• SIDE — SIDE is CHARACTER*1; = 'L': form H * C; = 'R': form C * H.
• M — M is INTEGER; the number of rows of the matrix C.
• N — N is INTEGER; the number of columns of the matrix C.
• V — V is COMPLEX*16 array, dimension (1 + (M-1)*abs(INCV)) if SIDE = 'L' or (1 + (N-1)*abs(INCV)) if SIDE = 'R'. The vector v in the representation of H. V is not used if TAU = 0.
• INCV — INCV is INTEGER; the increment between elements of v. INCV <> 0.
• TAU — TAU is COMPLEX*16; the value tau in the representation of H.
• C — C is COMPLEX*16 array, dimension (LDC,N). On entry, the M-by-N matrix C. On exit, C is overwritten by the matrix H * C if SIDE = 'L', or C * H if SIDE = 'R'.
• LDC — LDC is INTEGER; the leading dimension of the array C. LDC >= max(1,M).
• WORK — WORK is COMPLEX*16 array, dimension (N) if SIDE = 'L' or (M) if SIDE = 'R'.

👑 Author 👑

• Univ. of Tennessee
• Univ. of California Berkeley
• Univ. of Colorado Denver
• NAG Ltd.

Definition at line 127 of file zlarf.f.

🌟 Author 🌟

Generated automatically by Doxygen for LAPACK from the source code.

---

Okay bye bestie 💖 — mwah! This page is serving LAPACK Version 3.12.0 and SRC/zlarf.f(3) energy. Periodt. 🎀✨